# MATHS

The quadratic function f(x) has roots at x=4 and x=-2 and has value of 2 at x=0. Does f(x) have a minimum or maximum?

Find the value of the /minimum/maximum value of f(x).

1. f(x)=a(x-4)(x+2)
2=a(-4)(2)
a=-1/4

f(x)=-1/4 (x-4)(x+2)
f'=-1/4(x-4)-1/4(x+2)=0
-x+4-x-2=0
x=1 max or min
f"=-2/4 so it is curving down, it is a max at x=1

posted by bobpursley

## Similar Questions

1. ### Math

I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this
2. ### Algebra 1

The roots of a quadratic equation are -1 and -5, and a=1. A.) What are the factors of the quadratic expression? B.) Write the function in standard form using function notation. C.) What is the degree of this function? D.) Identify
3. ### Math

I can't seem remember the rules for this.Can someone please help me with the following questions? You can find the roots of a quadratic equation by determining the zeros of the quadratic function or the ...? You can find the roots
4. ### math

I'm having trouble understanding one step in a proof of the Cauchy-Schwarz inequality: u = a non-zero vector v = another vector a = <u,u> (so a > 0 by positivity axiom) b = 2<u,v> c = <v,v> (so c >= 0 by
5. ### Algebra2

Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end? #2 can be factored into (x+1)(x+3) = 0, so the roots are x=-1 and -3.
6. ### Precalculus

"Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the

Determine the value of "m" that will give the quadratic 3x^2 + 4x + m = 0 : a) two equal roots b) no real roots.
8. ### Algebra

A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not. A teacher writes a monic quadratic on the board. Joanie copies the
9. ### Algebra

A monic quadratic is a quadratic in which the coefficient of the quadratic term is 1. For example, r^2 - 3r + 7 is a monic quadratic, but 3t^2 - 3t + 1 is not. A teacher writes a monic quadratic on the board. Joanie copies the
10. ### college math

apply the quadratic formula to find the roots of the given function, and then graph the function. f(x) = x2 - 4 g(x) = x2 - x - 12
11. ### college math

apply the quadratic formula to find the roots of the given function, and then graph the function. f(x) = x2 - 4 g(x) = x2 - x - 12

More Similar Questions